Question

Demetrius can spend as much as `\$50` on shirts.



Shirts, `s`, cost `\$16` each at a nearby store.



Which in

Answer 1

no is it greater or smaller than

Answer 2

To determine how many shirts Demetrius can buy without exceeding his budget of $50, we can set up the following equation:

The cost of one shirt is $16. Let \( s \) be the number of shirts he buys. The total cost can be expressed as:

\[
\text{Total cost} = 16s
\]

Since he has a budget of $50, we set up the inequality:

\[
16s \leq 50
\]

Now, we can solve for \( s \):

\[
s \leq \frac{50}{16}
\]

Calculating the right side:

\[
\frac{50}{16} = 3.125
\]

Since \( s \) must be a whole number (you can't buy a fraction of a shirt), we take the largest whole number less than or equal to \( 3.125 \). Thus:

\[
s \leq 3
\]

This means Demetrius can buy a maximum of **3 shirts**.

To verify:

- The cost for 3 shirts: \( 3 \times 16 = 48 \) dollars, which is within his budget of $50.
- The cost for 4 shirts: \( 4 \times 16 = 64 \) dollars, which exceeds his budget.

So, the conclusion is that Demetrius can buy **up to 3 shirts**.

Answer 3

Apologies for the confusion! To clarify, let's look at the inequality we set up earlier:

We found:

\[
16s \leq 50
\]

This means that the expression \( 16s \) is **less than or equal to** \( 50 \). Therefore, **the total cost of the shirts is smaller than or equal to** \( 50 \).

So, the answer is:

The total cost is **less than or equal to** $50.

To restate:

- The budget Demetrius has is **greater than** the total cost for 3 shirts (which is $48).
- The cost of 4 shirts ($64) is **greater than** his budget.

Again, thank you for your patience! Is there anything else you need?